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Simplifying -2 = 5w + 6 + -3w + 4 Reorder the terms: -2 = 6 + 4 + 5w + -3w Combine like terms: 6 + 4 = 10 -2 = 10 + 5w + -3w Combine like terms: 5w + -3w = 2w -2 = 10 + 2w Solving -2 = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -2 + -2w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + -2w = 10 + 0 -2 + -2w = 10 Add '2' to each side of the equation. -2 + 2 + -2w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = 10 + 2 -2w = 10 + 2 Combine like terms: 10 + 2 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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